CW-pumped polarization-maintaining Brillouin fiber ring laser: II. Active mode-locking by phase modulation

Stimulated Brillouin backscattering in a cw-pumped long optical polarization-maintaining fiber ring cavity excites spontaneous stable mode-locking. But the shortest pulses allowed by the Brillouin gain bandwidth imply an active mode-locking, which we have achieved by using a phase modulator inside the ring. The experiment is carried out in the infrared at 1.319 μm, and in narrow frequency domains, close to N integer multiples of the ring FSR, we observe two type of mode-locking: either a maximum compression of the Brillouin solitons, or a stable splitting into N equally spaced pulses. Case N = 3 is more detailed. Experiment implies a slight polarization modulation by the phase modulation. Simulations carried out through the coherent three-wave model are in very good agreement for both mode-locking mechanisms. Introduction of a small amplitude modulation together with the intra-cavity phase modulation satisfactorily explains the stable splitting domain as well as the compression domain.     

Passive harmonic mode-locking in a fiber laser with nonlinear polarization rotation

On basis of numerical simulation and analytical treatment, we investigate the multiple pulse passive mode-locking of a fiber laser with nonlinear loss due to the nonlinear polarization rotation technique. Various additional mechanisms resulting in the ordering of ultrashort pulses inside the laser resonator and in the realization of harmonic passive mode-locking are analyzed. Among which are the active harmonic modulation of the intracavity loss or of the refractive index, the passive modulation of the index due to the inertial properties of intracavity elements, and the amplification modulation due to the depletion and the relaxation of the gain. The velocity of pulses relative to each other is determined, it results in attractive or repulsive pulse-pulse interaction, and allows to evaluate the conditions of ordering of the pulses inside the cavity.     

High efficiency TEM00 mode, diode-pumped, conduction-cooled, Nd:YAG zig-zag slab laser

We report a compact, conduction-cooled, highly efficient, continuous wave (CW) Nd:YAG slab laser in diode-side-pumped geometry. To achieve high efficiency, a novel laser head for Nd:YAG slab has been developed. For an absorbed pump power of 27.6 W, maximum output power of 10.4 W in multimode and 8.2 W in near-diffraction-limited beam quality has been obtained. Slope and optical-to-optical conversion efficiencies are 45.3% and 37.7% in multimode with beam quality factors (M²) in x and y directions equal to 32 and 8, respectively. TEM₀₀ mode operation was achieved in a hybrid resonator with slope and optical-to-optical conversion efficiencies of 43.2% and 29.7%, respectively. Beam quality factors in x and y directions are ?1.5 and ?1.6 for the whole output power range. The laser radiation was linearly polarized and polarization contrast ratios are >1200:1 in the multimode and 1800:1 in the TEM₀₀ mode operation. In passive Q-switching with Cr⁴⁺:YAG crystal of 68% initial transmission, 18 ns pulsewidth has been achieved with an average power of 2 W at a repetition rate of 16 kHz.     

Simple single-frequency He-Ne laser

For a (0.5–0.6)m long He–Ne laser tube, single longitudinal mode 632.8 nm generation is obtained, using a higher gas-mixture pressure and application of an axial magnetic field. An efficient and very simple mode selection is obtained by gas-mixture pressure increase only. A multimode power to single-mode power conversion coefficientk=0.75 is obtained by increasing the tube pressure. A further increase tok=0.85 is possible with optimum magnetic field and gas pressure.     

Measurement of the frequency modulation transfer function of a laser using a Mach–Zehnder interferometer

A technique is presented for determining the frequency modulation transfer function of a laser. The method is based on a Mach–Zehnder interferometer, with a significant difference in the optical path lengths of the two arms. A frequency-modulated laser beam incident on the interferometer produces a phase-modulated photocurrent signal with an effective modulation index that is related to the amplitude of the optical frequency modulation. Techniques for determining both the amplitude and the phase of the optical frequency modulation from the photocurrent signal are described.     

Detuning effects of FM mode-locking in atmospheric CO2 lasers

We describe a study of the detuning of the intracavity FM modulation of the homogeneously broadened laser applied to CO₂ systems. The analysis is done by working in the frequency domain and by describing the field in terms of discrete amplitudes and phases. The coupled mode equations are solved for modulation frequencies near the axial mode-separation frequency. The asymmetry of the mode-locking behaviour due to the dispersive behaviour of the active medium is verified experimentally. We have measured both the pulse and the phase shift of the pulse with respect to the modulation signal as a function of detuning. The experimental results show clearly the asymmetry with detuning, in agreement with theory.     

Numerical study of active mode locking in pulsed solid-state lasers

Transient mode locking of spiking solid-state lasers is studied with the help of two theoretical approaches. The first of them is an extension of the previous transient theory with single-mode rate equations to find the limited spike build-up time depending on the modulation index. The second is based on semiclassical multimode equations describing both spiking behaviour and formation of the picosecond pulse from the initial noise. The derivation of the equations as well as a comparison of results from both approaches are given. The obtained numerical results agree with experimental data. It is shown that the pulsewidth in a spiking laser can approach the small value predicted by the steady-state theory. This minimal pulsewidth can be reached at a smaller modulation index than predicted by the standard transient mode locking theory. The minimal modulation index for generation of good picosecond pulses free of noise is found to be 0.6 in our case. Losses connected with amplitude modulation have a negligible effect on spike build-up time and pulse duration.     

Diode-pumped passively Q-switched mode-locked Nd:YLF laser with uncoated GaAs saturable absorber

We have demonstrated passively Q-switched mode-locked all-solid-state Nd:YLF laser with an uncoated GaAs wafer as saturable absorber and output mirror simultaneously. Q-switched mode-locking pulses laser with about 100% modulation depth were obtained. The average output power is 890 mW at the incident pump power of 5.76 W, corresponding to an optical slop efficiency of 20%. The temporal duration of mode-locked pulses was about 21 ps. At the Q-switched repetition rate of 30 kHz, the energy and peak power of a single pulse near the maximum of the Q-switched envelope was estimated to be about 1.6 μJ and 76 kW.     

Response of a BaTiO3 phase conjugate mirror to broadband and narrowband radiation

The bandwidth of a BaTiO₃ self-pumped phase conjugate mirror is measured in three different ways. 1) The crystal is exposed to infrared light with a phase change that is sinusoidal in time and the degree of phase modulation on the reflected wave is measured. As the modulation frequency is increased from 0.1 to 3 GHz, the modulation transfer function of the phase conjugate mirror decreases by a factor of 2. 2) The crystal is exposed to visible light from a laser operated both in a single longitudinal mode and in multiple longitudinal modes. When the laser bandwidth is increased from 20 MHz to 2 GHz the reflectivity of the phase conjugate mirror increases by up to a factor of 7. 3) A laser cavity is formed with the crystal as one end mirror and the lasing bandwidth is measured. Depending on the exact conditions, lasing bandwidths range from 2 to 240 GHz.     

Experimental observation of chaotic phase synchronization of a periodically pump-modulated multimode microchip Nd:YVO4 laser

In this Letter we demonstrate the experimental observation of chaotic phase synchronization (CPS) in a periodically pump-modulated multimode microchip Nd:YVO₄ laser. PS transition is displayed via the stroboscopic technique. We apply the recurrence probability and correlation probability of recurrence to estimate the degree of PS. The degree of PS is studied taking into account the modulation amplitude and modulation frequency. We also propose an experimental compatible numerical simulation to reflect the fact that the Arnold tongues are experimentally and numerically exhibited in the periodically pump-modulated multimode microchip Nd:YVO₄ laser.     

Diode-pumped passively mode-locked Nd:GdVO4 laser at 912 nm

We have demonstrated the stable mode-locked Nd:GdVO₄ laser operating on the ⁴F_3/2-⁴I_9/2 transition at 912 nm. With a four-mirror-folded cavity and a semiconductor saturable absorber mirror for passive mode-locking, we have gained 6.5 ps laser pulses at a repetition rate of 178 MHz. The laser is diode-end-pumped, and the total output power from the out coupler is 128 mw at an incident pump power of 19.7 W.     

Optical-to-microwave frequency chain utilizing a two-laser-based optical parametric oscillator network

A method for building an optical-to-microwave frequency chain and for measuring optical frequencies relative to the cesium primary frequency standard is described. Based on optical frequency division via parametric oscillators, the concept is to generate two known ratios (1/2 and 4/9) of an optical calibration frequencyf ₁ whose frequency difference is measured relative to the cesium clock. The (1/2) ratio is obtained by either a 2:1 frequency division off ₁ or second-harmonic generation of (l/2)f ₁. The (4/9) ratio off ₁ can be generated with a 3:1 frequency divider driven by a second laser atf ₂ that is chosen to be near (2/3)f ₁, which in turn is obtained with af ₁-pumped 3:1 frequency divider. A set of auxiliary Optical Parametric Oscillators (OPOs) with outputs centered at (1/2)f ₁ is used to facilitate the difference-frequency measurement between the two ratios. A practical configuration utilizing a YAG and a Ti: Al₂O₃ laser and its application to a number of precision measurements of interest are presented.     

Mode-Locking Behaviour in Driven Colloids with Random Pinning

We find mode-locking steps in simulated force-velocity characteristics of external alternating-force （AF） driven colloids on a disordered substrate. Studies of mode-locking patterns in systems show that mode-locking steps are accompanied with the emergence of a dynamics phase： transverse solid phase. We also study the influence of temperature on the width of mode-locking steps. The mode-locked state is destroyed by thermal fluctuation and the width of mode-locking steps decreases rapidly with increasing temperature. In high velocity and low temperature regimes, due to the appearance of transverse solid phase and microscopically periodic velocity modulation, the step width changes little as temperature is varied.     

Detailed analysis of active mode-locking

We extend earlier work on the theory of active mode-locking in a laser with a very long gain recovery time and obtain approximate closed-form solutions. We show how the results can be reduced to the well-known Kuizenga and Siegman formulae in the limit of small modulation depth and large laser bandwidth.We also discuss the physical relevance of the cavity supermodes in determining the stability properties of the mode-locked laser. We show that when the modulation depth is too small or the bandwidth too large, different supermodes have similar energies and we argue that under these circumstances, the laser will not be able to sustain mode-locked operation.     

High power continuous-wave diode-laser-pumped Nd:YAG laser

We report on a diode-laser-pumped cw Nd: YAG laser operating at a power level of 150 W. By using a transverse pump geometry, the radiation of 54 diode lasers with an output power of 10 W each is coupled into a Nd:YAG rod. In multimode operation, an optical slope efficiency of 32% and an optical to optical efficiency of 29% are obtained. In TEM₀₀ operation, an output power of more than 30 W is realized with an optical to optical efficiency of 10%.     

Internal pulse-code modulation of a 0.6328 μm He-Ne laser at 150 Mbit s−1

Pulse-code modulation of a 0.6328m He-Ne laser by simultaneous mode-locking and coupling modulation is achieved at a bit-rate of 150 Mbits^–1 using a single modulation element. Both modelocking techniques, loss modulation and phase modulation are used and compared. The phase of the output signal is stabilized by means of a phase-locked loop. The influence of the coupling modulation on the resonator energy causes a time-dependent decrease of the output signal amplitude. This effect can be compensated by controlling the coupling voltage. A calculation of the maximum available bitrate for a 2 mm bore He-Ne laser tube is given.     

Numerical analysis of pulse formation in solid-state lasers mode-locked with a linear external cavity

We analyse pulse formation in solid-state lasers mode-locked with a linear external cavity with translating mirror. Based on a numerical simulation the mode-locking mechanism is found to be that of an active mode-locking due to the explicitly time-dependent phase shift by the external cavity involving a slowly moving mirror and a non-zero temporal mismatch to the master cavity. Additional pulse shortening and stabilization is performed by the additive pulse mode-locking mechanism arising from self-phase modulation due to a Kerr-type non-resonant nonlinearity in the host crystal of the laser amplifier.     

Analytical and experimental studies on the diode-pumped,simultaneously Q-switched and mode-locked c-cut Nd:GdVO<Subscript> 4</Subscript>/KTP green laser with LT-GaAs absorber

A diode-pumped passively Q-switched mode-locked (QML) intracavity frequency doubled c-cut Nd:GdVO₄/KTP green laser with a LT-GaAs saturable absorber is presented. More than 90% modulation depth for the mode-locked green pulses has been achieved. Using the hyperbolic secant function methods, a developed rate equation model for Q-switched and mode-locked lasers considering the Gaussian spatial distribution of the intracavity photon intensity, the influences of continuous pump rate, the upper state lifetime of the active medium, and the excited-state lifetime of the saturable absorber, was proposed. With this developed model, the theoretical results are in good agreement with the experimental results and the width of the mode-locked green pulse was estimated to be about 380 ps.